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Finding the Fourth Proportional to 11,624.64, 16,084.23 and 10,135.65

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Solution

The fourth proportional to 11,624.64, 16,084.23 and 10,135.65 is: 14,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.64 : 16,084.23 = 10,135.65 : x
  2. Step 2: Convert to fraction form
    11,624.64/16,084.23 = 10,135.65/x
  3. Step 3: Cross multiply
    11,624.64x = 16,084.23 × 10,135.65
  4. Step 4: Simplify right side
    11,624.64x = 163,024,125.80
  5. Step 5: Solve for x
    x = 163,024,125.80/11,624.64
  6. Step 6: Final answer
    x = 14,024.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.